That's an absolutely ridiculous statement. As a Canadian myself, we are constantly seeing the struggle to reduce the cost of providing health care as a proportion of the taxes we pay.
I don't know where this myth comes from -- is it just a misunderstanding of how public health care works, assuming that it's an infinite money pit?
Medicare has an incentive to keep prices low, which is demonstrated by the fact that in many (most?) cases it reimburses providers at less than their cost.
Perversely, it also raises costs by increasing demand for medical care.
I don't know where this myth comes from -- is it just a misunderstanding of how public health care works, assuming that it's an infinite money pit?